1
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If the mean and the variance of a binomial variate X are 1 and 0.75 respectively, then which of the following is true?
A
$P(X = 0) = 3P(X = 4)$
B
$P(X = 1) = 2P(X = 2)$
C
$P(X = 3) = 3P(X = 4)$
D
$3P(X = 0) = 4P(X = 1)$
2
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A box contains 8 red and N green balls. Two balls are drawn at random from it. If X is the random variable representing the number of green balls drawn and $E(X) = 1.2$, then $N = \ldots$
A
$4$
B
$8$
C
$12$
D
$16$
3
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
Resultant of two vectors $\vec{P}$ and $\vec{Q}$ is of magnitude A. If $\vec{Q}$ is reversed, then the resultant is of magnitude B. The value of $A^2 + B^2$ is
A
$P^2 + Q^2$
B
$P^2 - Q^2$
C
$2(P^2 + Q^2)$
D
$2(P^2 - Q^2)$
4
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
Mass and volume of a body are found to be $(6.00 \pm 0.03)$ kg and $(2.00 \pm 0.02)$ $\text{m}^3$ respectively. Then the density of a body is
A
$(3.00 \pm 0.010)$ $\text{kg/m}^3$
B
$(3.00 \pm 0.015)$ $\text{kg/m}^3$
C
$(3.00 \pm 0.020)$ $\text{kg/m}^3$
D
$(3.00 \pm 0.045)$ $\text{kg/m}^3$

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